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Representation of the Mittag-Leffler function through the exponential functions in the case of rational derivatives

Classical Analysis and ODEs 2019-04-30 v1 Dynamical Systems

Abstract

In this paper the Mittag-Leffler function is given through the exponential functions for any rational derivatives of m/n order, where m<n, n>1 are natural irreducible numbers (if n=1 then m is also equal to unity). Unlike the previous papers the given formulas do not contain integrals.

Keywords

Cite

@article{arxiv.1904.12737,
  title  = {Representation of the Mittag-Leffler function through the exponential functions in the case of rational derivatives},
  author = {Fikret A. Aliev and N. A. Aliev and N. A. Safarova},
  journal= {arXiv preprint arXiv:1904.12737},
  year   = {2019}
}

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